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Finding the Fourth Proportional to 9,334.21, 12,881.21 and 5,142.46

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Solution

The fourth proportional to 9,334.21, 12,881.21 and 5,142.46 is: 7,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.21 : 12,881.21 = 5,142.46 : x
  2. Step 2: Convert to fraction form
    9,334.21/12,881.21 = 5,142.46/x
  3. Step 3: Cross multiply
    9,334.21x = 12,881.21 × 5,142.46
  4. Step 4: Simplify right side
    9,334.21x = 66,241,116.85
  5. Step 5: Solve for x
    x = 66,241,116.85/9,334.21
  6. Step 6: Final answer
    x = 7,096.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.